Reflection and Transmission of Acoustic Waves by a Locally-Layered Random Slab

We consider acoustic propagation through a slab in which rapidlyvarying random plane layering has been subjected to smooth small amplitude undulations. The reflection and transmission properties of such a locally-layered slab are studied. Of principal interest is the question of the robustness of the plane layered theory. Do phenomena such as localization and the results of O’Doherty-Anstey theory persist under perturbations of plane layering? We establish some results affirming the robustness of these phenomena.

[1]  Benjamin S. White,et al.  Probing a random medium with a pulse , 1989 .

[2]  Benjamin S. White,et al.  One-dimensional wave propagation in a highly discontinuous medium , 1988 .

[3]  Pawel Lewicki.  Long Time Evolution of Wavefronts in Random Media , 1994, SIAM J. Appl. Math..

[4]  L. Pastur,et al.  Introduction to the Theory of Disordered Systems , 1988 .

[5]  N. A. Anstey,et al.  Reflections on AMPLITUDES , 1971 .

[6]  V. I. Kliatskin.  Stochastic equations and waves in randomly inhomogeneous media , 1980 .

[7]  Jean-Pierre Fouque,et al.  Pressure Fields Generated by Acoustical Pulses Propagating in Randomly Layered Media , 1998, SIAM J. Appl. Math..

[8]  Benjamin S. White,et al.  Localization and mode conversion for elastic waves in randomly layered media II , 1996 .

[9]  G. Papanicolaou,et al.  Reflection of wavefronts by randomly layered media , 1994 .

[10]  Ping Sheng,et al.  Scattering And Localization Of Classical Waves In Random Media , 1990 .

[11]  Maarten V. de Hoop,et al.  Beyond Effective Medium Theory: Pulse Stabilization for Multimode Wave Propagation in High-Contrast Layered Media , 1996, SIAM J. Appl. Math..

[12]  Jean-Pierre Fouque,et al.  Spreading of a Pulse Travelling in Random Media , 1994 .

[13]  Mark Asch,et al.  Statistical inversion from reflections of spherical waves by a randomly layered medium , 1996 .

[14]  A. Crisanti,et al.  Products of random matrices in statistical physics , 1993 .

[15]  J. Davenport.  Editor , 1960 .

[16]  George Papanicolaou,et al.  Frequency Content of Randomly Scattered Signals , 1991, SIAM Rev..

[17]  Angelo Vulpiani,et al.  Products of Random Matrices , 1993 .

[18]  George Papanicolaou,et al.  Pulse stabilization in a strongly heterogeneous layered medium , 1994 .

[19]  L. Pastur,et al.  A pure point spectrum of the stochastic one-dimensional schrödinger operator , 1977 .